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Finding the Third Proportional to 34,204 and 51,406

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Solution

The third proportional to 34,204 and 51,406 is: 77,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204 : 51,406 = 51,406 : x
  2. Step 2: Convert to fraction form
    34,204/51,406 = 51,406/x
  3. Step 3: Cross multiply
    34,204x = 51,406 × 51,406
  4. Step 4: Simplify right side
    34,204x = 2,642,576,836
  5. Step 5: Solve for x
    x = 2,642,576,836/34,204
  6. Step 6: Final answer
    x = 77,259.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.